Exercises

Key Skills

Function Composition & Inverses

Composing functions like f∘g

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Exercises

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Practice exam-style function composition & inverses problems

Key Skills

Composite functions

SL AA 2.5

Functions can be composed by passing the output of one into the other. We use the symbol ∘, and pay close attention to the order in which functions are composed:

(f∘g)(x)=f(g(x))🚫

To find an expression for f(g(x)), substitute g(x) for x in the expression for f(x).

Composite functions

SL AA 2.5

Functions can be composed by passing the output of one into the other. We use the symbol ∘, and pay close attention to the order in which functions are composed:

(f∘g)(x)=f(g(x))🚫

To find an expression for f(g(x)), substitute g(x) for x in the expression for f(x).